25-05-2017 дата публикации
Номер: US20170149416A1
An improved design method of a two-stage FRM filter includes the following steps: constructing an improved two-stage FRM filter; calculating passband and stopband edge parameters of a prototype filter, passband and stopband edge parameters of a second-stage masking filter and passband and stopband edge parameters of a first-stage masking filter in Case A and Case B, respectively; calculating the complexity of the FRM filter according to the obtained parameters, and finding out one or more sets [M, P, Q] having the lowest complexity within a search range; and optimizing the improved FRM filter. The improved design method of a two-stage FRM filter has the following beneficial effect: as compared to a conventional design method of a two-stage FRM filter, the complexity of a narrow-band FIR (Finite Impulse Response) filter can be reduced through design using the improved method, and power consumption is thus reduced in hardware implementation. 1. An improved design method of a two-stage FRM filter , comprising the following steps: {'br': None, 'i': H', 'z', 'G', 'z', 'H', 'z', 'G', 'z', 'H', 'z, 'sub': ma', 'mc, 'sup': (1)', '(1), '()=()()+(1−())(),'}, '(1) constructing an improved two-stage FRM filter having a transfer function H(z) as follows{'sub': a', 'ma', 'a', 'mc, 'sup': (2)', 'M', '(2)', 'P', '(2)', 'M', '(2)', 'Q, 'wherein G(z)=H(z)H(z)+(1−H(z))H(z) without any constraint among interpolation factors M, P, Q;'}{'sub': a', 'ma', 'mc', 'ma', 'mc, 'sup': (2)', 'M', '(1)', '(1)', '(2)', 'P', '(2)', 'Q, 'H(z) represents a prototype filter, while H(z) and H(z) represent first-stage masking filters, respectively, and H(z) and H(z) represent second-stage masking filters, respectively;'}{'sub': a', 'a', 'a, 'sup': (2)', '(2)', 'M', '(2)', 'M, '(2) searching within a search range for [M, P, Q], and for a certain set [M, P, Q], calculating passband and stopband edge parameters of the prototype filter H(z), passband and stopband edge parameters of the second-stage masking ...
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